volume | PIER Journals

Abstract

This paper presents the extension of the Maxwell Garnett effective medium model accounting for an arbitrary orientation of ellipsoidal inclusions. The proposed model is shown to be asymptotically convergent to the Maxwell Garnett mixing rule for a homogenous distribution of inclusions. Subsequently, a special case of a thin composite layer with a two-dimensional distribution of inclusions is considered and a simplified Maxwell Garnett formula is formally derived. The proposed model is validated against the alternative theoretical calculations and measurements data.

1. De Rosa, I. M., R. Mancinelli, F. Sarasini, M. S. Sarto, and A. Tamburrano, "Electromagnetic design and realization of innovative fiber-reinforced broad-band absorbing screens," IEEE Trans. Electromagn. Compat., Vol. 51, No. 3, 700-707, Aug. 2009.
doi:10.1109/TEMC.2009.2018125 Google Scholar

2. De Rosa, I. M., A. Dinescu, F. Sarasini, M. S. Sarto, and A. Tamburrano, "Effect of short carbon fibers and MWCNTs on microwave absorbing properties of polyester composites containing nickel-coated carbon fibers," Composites Science and Technology, Vol. 70, 102-109, 2010.
doi:10.1016/j.compscitech.2009.09.011 Google Scholar

3. Wada, Y., N. Asano, K. Sakai, and S. Yoshikado, "Preparation and evaluation of composite electromagnetic wave absorbers made of fine aluminum particles dispersed in polystyrene medium," Progress In Electromagnetics Research, Vol. 4, No. 8, 838-845, 2008. Google Scholar

4. Na, X., J. Qingjie, Z. Chongguang, W. Chenglong, and L. Yuanyuan, "Study on dispersion and electrical property of multi-walled carbon nanotubes/low-density polyethylene nanocomposites," Materials and Design, Vol. 31, 1676-1683, 2010.
doi:10.1016/j.matdes.2009.02.032 Google Scholar

5. Al-Saleh, M. H. and U. Sundararaj, "Electromagnetic interference shielding mechanisms of CNT/polymer composites," Carbon, Vol. 47, 1738-1746, 2009.
doi:10.1016/j.carbon.2009.02.030 Google Scholar

6. Youngs, I. J., "Exploring the universal nature of electrical percolation exponents by genetic algorithm fitting with general effective medium theory," Journal of Physics D: Applied Physics, Vol. 35, 3127-3137, 2002.
doi:10.1088/0022-3727/35/23/314 Google Scholar

7. Maxwell Garnett, J. C., "Colours in metal glasses and metal films," Philos. Trans. R. Soc. London, Sect. A, Vol. 3, 385-420, 1904.
doi:10.1098/rsta.1904.0024 Google Scholar

8. Sihvola, A. H. and J. A. Kong, "Effective permittivity of dielectric mixtures," IEEE Trans. on Geoscience and Remote Sensing, Vol. 26, No. 4, 420-429, 1988.
doi:10.1109/36.3045 Google Scholar

9. Koledintseva, M. Y., J. Wu, J. Zhang, J. L. Drewniak, and K. N. Rozanow, "Representation of permittivity for multiphase dielectric mixtures in FDTD modeling," IEEE International Symp. on Electromagnetic Compatibility, EMC 2004, Vol. 1, 309-314, 2004. Google Scholar

10. Uberall, H., B. F. Howell, and E. L. Diamond, "Effective medium theory and the attenuation of graphite fiber composites," Journal of Physics, Vol. 73, No. 7, 3441-3445, 1993. Google Scholar

11. Wu, J. and D. S. McLachlan, "Percolation exponents and thresholds obtained from the nearly ideal continuum percolation system graphite-boron nitride," Physical Review B, Vol. 56, No. 3, 1236-1248, 1997.
doi:10.1103/PhysRevB.56.1236 Google Scholar

12. Koledintseva, M. Y., J. L. Drewniak, and R. DuBroff, "Modeling of shielding composite materials and structures for microwave frequencies," Progress In Electromagnetics Research B, Vol. 15, 197-215, 2009.
doi:10.2528/PIERB09050410 Google Scholar

13. Jylha, L. and A. Sihvola, "Equation for the effective permittivity of particle-filled composites for material design applications," Journal of Physics D: Applied Physics, Vol. 40, 4966-4973, 2007.
doi:10.1088/0022-3727/40/16/032 Google Scholar

14. Li, Y., C. Chen, S. Zhang, Y. Ni, and J. Huang, "Electrical conductivity and electromagnetic interference shielding characteristics of multiwalled carbon nanotube filled polyacrylate composite films," Applied Surface Science, Vol. 254, 5766-5771, 2008.
doi:10.1016/j.apsusc.2008.03.077 Google Scholar

15. Landau, L. D., L. P. Pitaevskii, and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd Ed., Elsevier Butterworth-Heinemann, 1984.

16. Koledintseva, M., P. C. Rawa, R. DuBroff, J. Drewniak, K. Rozanov, and B. Archambeault, "Engineering of composite media for shields at microwave frequencies," IEEE International Symp. on Electromagnetic Compatibility, EMC 2005, Vol. 1, 169-174, 2005.
doi:10.1109/ISEMC.2005.1513494 Google Scholar

17. Koledintseva, M. Y., R. DuBroff, and R. W. Schwartz, "Maxwell Garnett rule for dielectric mixtures with statistically distributed orientations of inclusions," Progress In Electromagnetic Research, Vol. 99, 131-148, 2009.
doi:10.2528/PIER09091605 Google Scholar

18. Sihvola, A. and I. V. Lindell, "Remote sensing of random media with ellipsoidal inhomogeneities," Geoscience and Remote Sensing Symposium, IGARSS'89, Vol. 2, 929-931, 2003. Google Scholar

19. Avelin, J., Polarizability analysis of canonical dielectric and bianisotropic scatterers, Ph.D. dissertation, Helsinki University of Technology, 2003.

Dr. Bartlomiej Salski